Two-time-scale stochastic functional differential equations with wideband noises and jumps
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DOI: 10.1016/j.chaos.2024.114756
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- Wu, Zheng & Yin, George & Lei, Dongxia, 2018. "A class of generalized Ginzburg–Landau equations with random switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 324-336.
- Weron, R & Bierbrauer, M & Trück, S, 2004.
"Modeling electricity prices: jump diffusion and regime switching,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 39-48.
- Rafal Weron & Michael Bierbrauer & Stefan Trück, 2003. "Modeling electricity prices: jump diffusion and regime switching," HSC Research Reports HSC/03/01, Hugo Steinhaus Center, Wroclaw University of Science and Technology.
- Emel Savku & Gerhard-Wilhelm Weber, 2018. "A Stochastic Maximum Principle for a Markov Regime-Switching Jump-Diffusion Model with Delay and an Application to Finance," Journal of Optimization Theory and Applications, Springer, vol. 179(2), pages 696-721, November.
- Khasminskii, R.Z. & Zhu, C. & Yin, G., 2007. "Stability of regime-switching diffusions," Stochastic Processes and their Applications, Elsevier, vol. 117(8), pages 1037-1051, August.
- J. Lars Kirkby & Duy Nguyen, 2020. "Efficient Asian option pricing under regime switching jump diffusions and stochastic volatility models," Annals of Finance, Springer, vol. 16(3), pages 307-351, September.
- Yin, George & Wen, Zhexin, 2019. "Stochastic Kolmogorov systems driven by wideband noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
- Nguyen, Dang H. & Nguyen, Nhu N. & Yin, George, 2021. "Stochastic functional Kolmogorov equations, I: Persistence," Stochastic Processes and their Applications, Elsevier, vol. 142(C), pages 319-364.
- Massimo Costabile & Arturo Leccadito & Ivar Massabó & Emilio Russo, 2014. "A reduced lattice model for option pricing under regime-switching," Review of Quantitative Finance and Accounting, Springer, vol. 42(4), pages 667-690, May.
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Keywords
Stochastic functional differential equations; Switching jump diffusion; Wideband noise; Weak convergence; Two-time-scale; Itô functional formula;All these keywords.
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